## Abstract

Traditionally, the Boussinesq approximation is adopted for numerical simulation of natural convection phenomena where density variations are supposed negligible except through the gravity term of the momentum equation. In this study, a rather new formulation based on a non-Boussinesq approximation is presented in which the density variations are also considered in advection terms. The results of the proposed formulation is compared against Boussinesq simulation in a concentric horizontal annulus cavity in terms of average and local Nusselt number up to Ra = 10^{5}. Results indicate that the classic Boussinesq approximation works accurately up to Ra = 10^{4} but at Ra = 10^{5} computed thermo-fluid parameters via the two approaches are not identical.

Original language | English |
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Title of host publication | Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018 |

Editors | Timothy C.W. Lau, Richard M. Kelso |

Publisher | Australasian Fluid Mechanics Society |

ISBN (Electronic) | 9780646597843 |

Publication status | Published - 2018 |

Event | Australasian Fluid Mechanics Conference 2018 - Adelaide Convention Centre, Adelaide, Australia Duration: 10 Dec 2018 → 13 Dec 2018 Conference number: 21st http://www.afms.org.au/proceedings/21.html (Proceedings) https://aomevents.eventsair.com/QuickEventWebsitePortal/21st-australasian-fluid-mechanics-conference/afmc2018 |

### Publication series

Name | Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018 |
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### Conference

Conference | Australasian Fluid Mechanics Conference 2018 |
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Abbreviated title | AFMC 2018 |

Country/Territory | Australia |

City | Adelaide |

Period | 10/12/18 → 13/12/18 |

Internet address |